A line has a slope of and a y-intercept of 5. Write the equation of the line in slope-intercept form and explain how you would use the slope and y-intercept to graph the equation.
The equation of a line in slope-intercept form is y = mx + b, where m represents the slope and b represents the y-intercept.
In this case, the slope is missing, but we know the y-intercept is 5. So the equation of the line would be y = mx + 5.
As we know the y-intercept is 5, we can substitute this value in for y and set x = 0 to find the x-intercept:
5 = m(0) + 5
m = 0
Now we have all the information we need to graph the equation.
1. Plot the y-intercept at (0, 5).
2. Use the slope to find additional points on the line. As the slope is 0, the line is horizontal. This means y remains the same no matter what x is. So, the line will be a horizontal line passing through (0, 5).
By plotting the y-intercept and drawing a horizontal line through it, you will have graphed the equation of the line.